Question

In: Statistics and Probability

Suppose A consists of the people in the population who are asthmatic, and B consists of...

Suppose A consists of the people in the population who are asthmatic, and B consists of the people in the population who are allergic to cats. How would you describe the set (A∪B)∩(A¯∪B¯) in words?

Solutions

Expert Solution

(A U B) is the set of people who are either asthmatic or are allergic to cats

( U ) is the people that are either not asthmatic or are not allergic to cats. That is, all people except those who are both asthmatic and allergic to cats

(A U B) ( U ) consists of people belonging to both (A U B) and ( U ), that is, the people who are either allergic to cat but are not asthmatic or who are asthmatic but are not allergic to cats.

(A U B) ( U ) is shown in Venn Diagram given below


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